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Finding the Third Proportional to 363,177,631 and 509,610,110

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Solution

The third proportional to 363,177,631 and 509,610,110 is: 715,083,865.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,177,631 : 509,610,110 = 509,610,110 : x
  2. Step 2: Convert to fraction form
    363,177,631/509,610,110 = 509,610,110/x
  3. Step 3: Cross multiply
    363,177,631x = 509,610,110 × 509,610,110
  4. Step 4: Simplify right side
    363,177,631x = 259,702,464,214,212,096
  5. Step 5: Solve for x
    x = 259,702,464,214,212,096/363,177,631
  6. Step 6: Final answer
    x = 715,083,865.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.